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Finding the Third Proportional to 263,496.38 and 585,947.25

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Solution

The third proportional to 263,496.38 and 585,947.25 is: 1,302,993.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,496.38 : 585,947.25 = 585,947.25 : x
  2. Step 2: Convert to fraction form
    263,496.38/585,947.25 = 585,947.25/x
  3. Step 3: Cross multiply
    263,496.38x = 585,947.25 × 585,947.25
  4. Step 4: Simplify right side
    263,496.38x = 343,334,179,782.56
  5. Step 5: Solve for x
    x = 343,334,179,782.56/263,496.38
  6. Step 6: Final answer
    x = 1,302,993.94

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.